(New page: Category:MA453Fall2013Walther Category:MA453 Category:math Category:algebra =Penrose Tiling= By Joshua John Clark, Daniel Kerstiens, Jason Piercy, and Caleb Rouleau) |
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=Penrose Tiling= | =Penrose Tiling= | ||
By Joshua John Clark, Daniel Kerstiens, Jason Piercy, and Caleb Rouleau | By Joshua John Clark, Daniel Kerstiens, Jason Piercy, and Caleb Rouleau | ||
| + | |||
| + | Overview of Penrose Tiling | ||
| + | Example: | ||
| + | [[Image:http://upload.wikimedia.org/wikipedia/commons/c/ce/Roger-Penrose-Kachelstruktur.jpg]] | ||
| + | Artist: Urs Schmid | ||
| + | Photo by: Urs Schmid | ||
| + | Date: drawn in 1995 | ||
| + | |||
| + | Who is Roger Penrose? | ||
| + | 1. Oxford professor | ||
| + | 2. PhD from Cambridge | ||
| + | |||
| + | Definition of a non-periodic | ||
| + | |||
| + | Symmetries: local and global | ||
| + | 1. Rotational | ||
| + | 2. Reflectional | ||
| + | 3. Relation to golden ratio | ||
| + | |||
| + | Rules for construction | ||
| + | 1. Matching rules | ||
| + | 2. Substitution tiling | ||
| + | |||
| + | Other tilings | ||
Revision as of 12:18, 24 September 2013
Penrose Tiling
By Joshua John Clark, Daniel Kerstiens, Jason Piercy, and Caleb Rouleau
Overview of Penrose Tiling Example: File:Http://upload.wikimedia.org/wikipedia/commons/c/ce/Roger-Penrose-Kachelstruktur.jpg Artist: Urs Schmid Photo by: Urs Schmid Date: drawn in 1995
Who is Roger Penrose?
1. Oxford professor 2. PhD from Cambridge
Definition of a non-periodic
Symmetries: local and global
1. Rotational 2. Reflectional 3. Relation to golden ratio
Rules for construction
1. Matching rules 2. Substitution tiling
Other tilings
